Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Solve the following using the rules for multiplication and division:

1. [tex]8 \times (-13) = \quad [/tex]
2. [tex]8 \div (-16) = \quad [/tex]
3. [tex]32 \div 56 = \quad [/tex]
4. [tex](-32) \times 15 = \quad [/tex]
5. [tex](-24) \div 560 = \quad [/tex]
6. [tex](-25) \div 5 = \quad [/tex]
7. [tex](-22) \times (-9) = \quad [/tex]
8. [tex](-70) \div (-14) = \quad [/tex]
9. [tex](-20) \div (-160) = \quad [/tex]
10. [tex]25 \times 5 = \quad [/tex]

Sagot :

GinnyAnswer
Sure, let's solve each problem step-by-step using the rules for multiplication and division:

1. [tex]\(8 \times (-13)\)[/tex]:
- When you multiply a positive number by a negative number, the result is negative.
- [tex]\(8 \times (-13) = -104\)[/tex]

2. [tex]\(8 \div (-16)\)[/tex]:
- When you divide a positive number by a negative number, the result is negative.
- [tex]\(8 \div (-16) = -0.5\)[/tex]

3. [tex]\(32 \div 56\)[/tex]:
- Both numbers are positive.
- [tex]\(32 \div 56\)[/tex]
- Simplifying the fraction [tex]\( \frac{32}{56} \)[/tex] we get [tex]\( \frac{4}{7} \)[/tex] or approximately [tex]\(0.5714285714285714\)[/tex]

4. [tex]\((-32) \times 15\)[/tex]:
- When you multiply a negative number by a positive number, the result is negative.
- [tex]\((-32) \times 15 = -480\)[/tex]

5. [tex]\((-24) \div 560\)[/tex]:
- When you divide a negative number by a positive number, the result is negative.
- [tex]\((-24) \div 560 = -0.04285714285714286\)[/tex]

6. [tex]\((-25) \div 5\)[/tex]:
- When you divide a negative number by a positive number, the result is negative.
- [tex]\((-25) \div 5 = -5.0\)[/tex]

7. [tex]\((-22) \times (-9)\)[/tex]:
- When you multiply two negative numbers, the result is positive.
- [tex]\((-22) \times (-9) = 198\)[/tex]

8. [tex]\((-70) \div (-14)\)[/tex]:
- When you divide two negative numbers, the result is positive.
- [tex]\((-70) \div (-14) = 5.0\)[/tex]

9. [tex]\((-20) \div (-160)\)[/tex]:
- When you divide two negative numbers, the result is positive.
- However, always reduce the fraction to its simplest form.
- [tex]\((-20) \div (-160) = \frac{20}{160} = \frac{1}{8} = 0.125\)[/tex]

10. [tex]\(25 \times 5\)[/tex]:
- When you multiply two positive numbers, the result is positive.
- [tex]\(25 \times 5 = 125\)[/tex]

So the answers are:
1. [tex]\( -104 \)[/tex]
2. [tex]\( -0.5 \)[/tex]
3. [tex]\( 0.5714285714285714 \)[/tex]
4. [tex]\( -480 \)[/tex]
5. [tex]\( -0.04285714285714286 \)[/tex]
6. [tex]\( -5.0 \)[/tex]
7. [tex]\( 198 \)[/tex]
8. [tex]\( 5.0 \)[/tex]
9. [tex]\( 0.125 \)[/tex]
10. [tex]\( 125 \)[/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.